Search a number
-
+
2200110101120 = 27519283639329
BaseRepresentation
bin100000000001000000110…
…001111111001010000000
321210022212110022020210202
4200001000301333022000
5242021311141213440
64402414442544332
7314644531204421
oct40010061771200
97708773266722
102200110101120
11779074882648
122b64905080a8
1312c614622929
14786b3431648
153c36ae4e615
hex20040c7f280

2200110101120 has 128 divisors (see below), whose sum is σ = 5556033432000. Its totient is φ = 830778605568.

The previous prime is 2200110101113. The next prime is 2200110101143. The reversal of 2200110101120 is 211010110022.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3121616 + ... + 3760944.

Almost surely, 22200110101120 is an apocalyptic number.

2200110101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200110101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778016716000).

2200110101120 is an abundant number, since it is smaller than the sum of its proper divisors (3355923330880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2200110101120 is a wasteful number, since it uses less digits than its factorization.

2200110101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639650 (or 639638 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2200110101120 its reverse (211010110022), we get a palindrome (2411120211142).

The spelling of 2200110101120 in words is "two trillion, two hundred billion, one hundred ten million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 283 304 320 380 566 608 640 760 1132 1216 1415 1520 2264 2432 2830 3040 4528 5377 5660 6080 9056 10754 11320 12160 18112 21508 22640 26885 36224 43016 45280 53770 86032 90560 107540 172064 181120 215080 344128 430160 639329 688256 860320 1278658 1720640 2557316 3196645 3441280 5114632 6393290 10229264 12147251 12786580 20458528 24294502 25573160 40917056 48589004 51146320 60736255 81834112 97178008 102292640 121472510 180930107 194356016 204585280 242945020 361860214 388712032 409170560 485890040 723720428 777424064 904650535 971780080 1447440856 1554848128 1809301070 1943560160 2894881712 3437672033 3618602140 3887120320 5789763424 6875344066 7237204280 7774240640 11579526848 13750688132 14474408560 17188360165 23159053696 27501376264 28948817120 34376720330 55002752528 57897634240 68753440660 110005505056 115795268480 137506881320 220011010112 275013762640 440022020224 550027525280 1100055050560 2200110101120